1005225001 has 8 divisors (see below), whose sum is σ = 1154325600. Its totient is φ = 865743840.

The previous prime is 1005224981. The next prime is 1005225019.

1005225001 is nontrivially palindromic in base 10.

1005225001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005225001 - 2⁷ = 1005224873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005225601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2404636 + ... + 2405053.

It is an arithmetic number, because the mean of its divisors is an integer number (144290700).

Almost surely, 2^1005225001 is an apocalyptic number.

1005225001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005225001 is a deficient number, since it is larger than the sum of its proper divisors (149100599).

1005225001 is a wasteful number, since it uses less digits than its factorization.

1005225001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809719.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1005225001 is about 31705.2834871414. The cubic root of 1005225001 is about 1001.7386423708.

It can be divided in two parts, 10052 and 25001, that added together give a palindrome (35053).

The spelling of 1005225001 in words is "one billion, five million, two hundred twenty-five thousand, one".